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Finding the Fourth Proportional to 128,464.14, 192,725.46 and 69,298.50

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Solution

The fourth proportional to 128,464.14, 192,725.46 and 69,298.50 is: 103,963.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,464.14 : 192,725.46 = 69,298.50 : x
  2. Step 2: Convert to fraction form
    128,464.14/192,725.46 = 69,298.50/x
  3. Step 3: Cross multiply
    128,464.14x = 192,725.46 × 69,298.50
  4. Step 4: Simplify right side
    128,464.14x = 13,355,585,289.81
  5. Step 5: Solve for x
    x = 13,355,585,289.81/128,464.14
  6. Step 6: Final answer
    x = 103,963.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.